Sentence examples for exists the optimal solution from inspiring English sources

Lemma 2. Suppose that the optimal solution of problem P3 exists, the optimal solution provides proportionally fair resource allocation along the time for each service.

Problem 4 is a nonconvex function for which a duality gap exists to the optimal solution.

It gives the span of the fluxes that exist within the optimal solution space defined by the linear program given in Eq. (15).

This best set of indices can be obtained by an exhaustive search in the dictionary F (e.g., the optimal solution exists) but in practice the complexity burdens impose to follow a greedy strategy.

Hence, the optimal solution exists.

However, (17) implies that the optimal solution exists at a constant equal slope of for all block cost functions.

Because the arrival rate of traffic is, which is also the requesting rate, then is equal to as long as the optimal solution exists.

To guarantee that the optimal solution exists, we assume that (alpha W < D,) that is, deteriorating quantity for items in OW is less than the demand rate.

For any given selling price, we then show that the optimal solution exists and is unique by providing a simple algorithm to find the optimal selling price, ordering cycle and ordering quantity.

Therefore, if the optimal solution exists,b it satisfies the KKT conditions, and it is given by [16] P a k = P a k = − 1 / γ k β 0 P ¯, (18).

Curiously, covering and association constraints can be rather easily met, and it can sometimes be guaranteed that all feasible solutions (hence including the optimal solution) exist among the attractors.